Two friends, standing at an intersection, decide to play a game. Player A will win if the next vehicle to come to the intersection turns right. Player B will win if the vehicle turns left. If the vehicle does not turn left or right the two friends will wait for the next vehicle to decide a winner. The probability of a vehicle turning right is 0.25 The probability of turning left is 0.35 Please use at least five digits after the decimal point if rounding. a. Calculate the probability that Player A will win. b. Let X be the number of cars observed for a win to be declared, the possible values for X=1,2,3... Derive the probability density function (pdf) for X